"And the name of the man was Elimelech, and the name of his wife Naomi, and the name of his two sons Mahlon and kilion"

Seemingly, it seems to be that nothing is written about someone that is sick, but if we will look closely to the nouns that appear in the names mahlon and kilion, we will see that machlon derives from the noun Machala, which means sickness or illness; kilion derives from kelaya, which means extermination.

It's not a surprise that few verses after we can find this:

"וַיָּמֻתוּ גַם-שְׁנֵיהֶם, מַחְלוֹן וְכִלְיוֹן"

"And Mahlon and Chilion died both of them"

If you have a name with sickness you will be sick. I wish everyone to be healthy, Eli